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Asymptotic Comparison of Parameters Estimates of Two-parameter Weibull Distribution

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F19%3APU131602" target="_blank" >RIV/00216305:26210/19:PU131602 - isvavai.cz</a>

  • Result on the web

    <a href="https://acta.mendelu.cz/67/1/0253/" target="_blank" >https://acta.mendelu.cz/67/1/0253/</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.11118/actaun201967010253" target="_blank" >10.11118/actaun201967010253</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Asymptotic Comparison of Parameters Estimates of Two-parameter Weibull Distribution

  • Original language description

    The Weibull distribution is frequently applied in various fields, ranging from economy, business, biology, to engineering. This paper aims at estimating the parameters of two-parameter Weibull distribution are determined. For this purpose, the method of quantiles (three different choices of quantiles) and Weibull probability plot method is utilized. The asymptotic covariance matrix of the parameter estimates is derived for both methods. For optimal random choices of quantiles, the variance, covariance and generalized variance is computed. The main contribution of this study is the introduction of the best choice of percentiles for the method of quantiles and the joint asymptotic efficiency comparison of applied methods.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database

  • CEP classification

  • OECD FORD branch

    10103 - Statistics and probability

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis

  • ISSN

    1211-8516

  • e-ISSN

    2464-8310

  • Volume of the periodical

    67

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    12

  • Pages from-to

    253-263

  • UT code for WoS article

  • EID of the result in the Scopus database

    2-s2.0-85062541065